Unit 1: Rigid transformations and congruence
Lesson 5: Coordinate moves
Lesson 6: Describing transformations
Lesson 7: No bending or stretching
Rigid transformations intro
Finding measures using rigid transformations
Rigid transformations: preserved properties
Lesson 12: Congruent polygons
Congruent shapes & transformations
Non-congruent shapes & transformations
Lesson 14: Alternate interior angles
Missing angles with a transversal
Lesson 16: Parallel lines and the angles in a triangle
Angles in a triangle sum to 180° proof
Triangle exterior angle example
Worked example: Triangle angles (intersecting lines)
Unit 2: Dilations, similarity, and introducing slope
Lesson 4: Dilations on a square grid
Dilating shapes: expanding
Dilating shapes: shrinking by 1/2
Similar shapes & transformations
Lesson 7: Similar polygons
Lesson 9: Side lengths quotients in similar triangles
Side lengths after dilation
Lesson 3: Representing proportional relationships
Graphing proportional relationships: unit rate
Graphing proportional relationships from a table
Graphing proportional relationships from an equation
Unit 3: Linear relationships
Lesson 4: Comparing proportional relationships
Rates & proportional relationships example
Rates & proportional relationships: gas mileage
Lesson 7: Representations of linear relationships
Linear & nonlinear functions: missing value
Lesson 8: Translating to y=mx+b
Graph from slope-intercept equation
Lesson 9: Slopes don’t have to be positive
Slope-intercept equation from slope & point
Linear & nonlinear functions: word problem
Lesson 11: Equations of all kinds of lines
Converting to slope-intercept form
Worked examples: slope-intercept intro
Solutions to 2-variable equations
Worked example: solutions to 2-variable equations
Lesson 12: Solutions to linear equations
Lesson 13: More solutions to linear equations
Completing solutions to 2-variable equations
Extra practice: Intercepts
Intercepts from an equation
Worked example: intercepts from an equation
Intro to equations with variables on both sides
Equations with variables on both sides: 20-7x=6x-6
Lesson 4: More balanced moves
Equations with parentheses
Unit 4: Linear equations and linear systems
Extra practice: Linear equations
Sums of consecutive integers
Sum of integers challenge
Equation practice with vertical angles
Equation practice with complementary angles
Equation practice with supplementary angles
Lesson 7: All, some, or no solution
Creating an equation with no solutions
Creating an equation with infinitely many solutions
Lesson 8: How many solutions?
Number of solutions to equations
Worked example: number of solutions to equations
Lesson 9: When are they the same?
Age word problem: Ben & William
Age word problem: Arman & Diya
Lesson 12: Systems of equations
Systems of equations: trolls, tolls (1 of 2)
Systems of equations: trolls, tolls (2 of 2)
Systems of equations with graphing
Systems of equations with graphing: y=7/5x-5 & y=3/5x-1
Lesson 13: Solving systems of equations
Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120
Number of solutions to a system of equations graphically
Lesson 14: Solving more systems
Systems of equations with substitution: 2y=x+7 & x=y-4
Systems of equations with substitution: y=4x-17.5 & y+2x=6.5
Systems of equations with substitution: y=-5x+8 & 10x+2y=-2
Lesson 16: Solving problems with systems of equations
System of equations word problem: no solution
Systems of equations with substitution: coins
Lesson 3: Equations for functions
Manipulating formulas: temperature
Lesson 4: Tables, equations, and graphs of functions
Linear function example: spending money
Lesson 5: More graphs of functions
Interpreting a graph example
Unit 5: Functions and volume
Lesson 8: Linear functions
Linear graphs word problem: cats
Linear equations word problems: earnings
Modeling with linear equations: snow
Comparing linear functions word problem: climb
Comparing linear functions word problem: work
Linear functions word problem: fuel
Linear functions word problem: pool
Lesson 13: The volume of a cylinder
Cylinder volume & surface area
Lesson 15: The volume of a cone
Lesson 18: Scaling two dimensions
How volume changes from changing dimensions
Lesson 20: The volume of a sphere
Constructing a scatter plot
Lesson 4: Fitting a line to data
Line of best fit: smoking in 1945
Lesson 6: The slope of a fitted line
Interpreting a trend line
Lesson 7: Observing more patterns in scatter plots
Example of direction in scatterplots
Unit 6: Associations in data
Lesson 9: Looking for associations
Two-way frequency tables and Venn diagrams
Two-way relative frequency tables
Lesson 4: Dividing powers of 10
Lesson 6: What about other bases?
Exponent properties with products
Exponent properties with quotients
Negative exponent intuition
Multiplying & dividing powers (integer exponents)
Lesson 8: Combining bases
Exponent properties with parentheses
Lesson 12: Applications of arithmetic with powers of 10
Lesson 12: Applications of arithmetic with powers of 10
Approximating with powers of 10
Lesson 13: Definition of scientific notation
Scientific notation example: 0.0000000003457
Scientific notation examples
Unit 7: Exponents and scientific notation
Lesson 14: Multiplying, dividing, and estimating with scientific notation
Multiplying in scientific notation example
Multiplying & dividing in scientific notation
Scientific notation word problem: U.S. national debt
Lesson 3: Rational and irrational numbers
Intro to rational & irrational numbers
Classifying numbers: rational & irrational
Lesson 4: Square roots on the number line
Approximating square roots to hundredths
Lesson 5: Reasoning about square roots
Approximating square roots
Extra practice: Irrational numbers
Lesson 6: Finding side lengths of triangles
Intro to the Pythagorean theorem
Lesson 7: A proof of the Pythagorean Theorem
Bhaskara’s proof of the Pythagorean theorem
Unit 8: Pythagorean theorem and irrational numbers
Lesson 8: Finding unknown side lengths
Pythagorean theorem example
Lesson 10: Applications of the Pythagorean Theorem
Pythagorean theorem word problem: carpet
Pythagorean theorem word problem: fishing boat
Extra practice: Pythagorean theorem
Pythagorean theorem proof using similarity
Another Pythagorean theorem proof
Lesson 12: Edge lengths and volumes
Dimensions of a cube from its volume
Lesson 14: Decimal representations of rational numbers
Converting a fraction to a repeating decimal
Lesson 15: Infinite decimal expansions
Converting repeating decimals to fractions (part 1 of 2)
Converting repeating decimals to fractions (part 2 of 2)